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3190889100 = 2235277121401
BaseRepresentation
bin1011111000110001…
…0001101010001100
322020101012221221210
42332030101222030
523013331422400
61244343454420
7142034052450
oct27614215214
98211187853
103190889100
1113981a0233
12750757410
133bb0cb879
14223ad6660
1513a1ed950
hexbe311a8c

3190889100 has 144 divisors (see below), whose sum is σ = 10700315136. Its totient is φ = 719040000.

The previous prime is 3190889063. The next prime is 3190889123. The reversal of 3190889100 is 19880913.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138400 + ... + 159800.

It is an arithmetic number, because the mean of its divisors is an integer number (74307744).

Almost surely, 23190889100 is an apocalyptic number.

3190889100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3190889100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5350157568).

3190889100 is an abundant number, since it is smaller than the sum of its proper divisors (7509426036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3190889100 is a wasteful number, since it uses less digits than its factorization.

3190889100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21496 (or 21489 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 3190889100 is about 56487.9553533317. The cubic root of 3190889100 is about 1472.2127349625.

The spelling of 3190889100 in words is "three billion, one hundred ninety million, eight hundred eighty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 71 75 84 100 105 140 142 150 175 210 213 284 300 350 355 420 426 497 525 700 710 852 994 1050 1065 1420 1491 1775 1988 2100 2130 2485 2982 3550 4260 4970 5325 5964 7100 7455 9940 10650 12425 14910 21300 21401 24850 29820 37275 42802 49700 64203 74550 85604 107005 128406 149100 149807 214010 256812 299614 321015 428020 449421 535025 599228 642030 749035 898842 1070050 1284060 1498070 1519471 1605075 1797684 2140100 2247105 2996140 3038942 3210150 3745175 4494210 4558413 6077884 6420300 7490350 7597355 8988420 9116826 10636297 11235525 14980700 15194710 18233652 21272594 22471050 22792065 30389420 31908891 37986775 42545188 44942100 45584130 53181485 63817782 75973550 91168260 106362970 113960325 127635564 151947100 159544455 212725940 227920650 265907425 319088910 455841300 531814850 638177820 797722275 1063629700 1595444550 3190889100